More Dicey operations

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

These challenges follow on from Dicey operations.

How close can you get to the target? 

If you know how to multiply and divide, you may enjoy these challenges. 

Click on the purple cog to select from the available options.

If you are working away from a computer, you could treat this as a game for two people, or play in two teams of two.

There are a few games to choose from.

Find a partner and a 1-6 dice, or preferably a 0-9 dice if you have one. The interactivity in Dice and Spinners can be used to simulate throwing different dice.

Throw the dice. Each player decides where to place that number in their grid.
Continue until all the cells are filled.

Alternatively, collect all your numbers and then decide where to place them.
 

Game 1

Each of you draw a multiplication grid like this:
 

Image
Dicey Operations


Throw the dice four times until all the cells are full.

Whoever has the product closest to 1000 wins.

There are two possible scoring systems:

  • A point for a win. The first person to reach 10 wins the game.
  • Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.
You can vary the target to make it easier or more difficult.

 

Game 2

Each of you draw a multiplication grid like this:

Image
Dicey Operations

Throw the dice five times until all the cells are full.

Whoever has the product closest to 10000 wins.

There are two possible scoring systems:

  • A point for a win. The first person to reach 10 wins the game.
  • Each player keeps a running total of their "penalty points", the difference between their result and 10000 after each round. First to 10000 loses.
You can vary the target to make it easier or more difficult.
 
You could introduce a decimal point. The decimal point could take up one of the cells so the dice would only need to be thrown four times by each player. You will need to decide on an appropriate target.
 
 

Game 3 

Each of you draw a division grid like this:

Image
Dicey Operations


Throw the dice five times until all the cells are full.

Whoever has the answer closest to 1000 wins.

There are two possible scoring systems:

  • A point for a win. The first person to reach 10 wins the game.
  • Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.
You can vary the target to make it easier or more difficult.